Well-Posedness for the Cauchy Problem for a System of Semirelativistic Equations

被引：3

作者：

Fujiwara, Kazumasa ^{[1
]}

Machihara, Shuji ^{[2
]}

Ozawa, Tohru ^{[3
]}

机构：

[1] Waseda Univ, Dept Pure & Appl Phys, Shinjuku Ku, Tokyo 1698555, Japan

[2] Saitama Univ, Fac Sci, Saitama 3388570, Japan

[3] Waseda Univ, Dept Appl Phys, Shinjuku Ku, Tokyo 1698555, Japan

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2015年 / 338卷 / 01期

关键词：

NONLINEAR SCHRODINGER-EQUATIONS; REGULARITY;

D O I：

10.1007/s00220-015-2347-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The local well-posedness for the Cauchy problem of a system of semirelativistic equations in one space dimension is shown in the Sobolev space H-s of order s >= 0. We apply the standard contraction mapping theorem by using Bourgain type spaces X-s,X-b. We also use an auxiliary space for the solution in L-2 = H-0. We give the global well-posedness by this conservation law and the argument of the persistence of regularity.

引用

页码：367 / 391

页数：25

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